{"pubkey":"d83015e338edc52f8511b8cce5209023904c9c99b3e577b1d6e948d52b9d3daa","posts":[{"contentHash":"45d2f1d2b5ed5ebef21ece5dff9844f571d6a1ada97f1b9efec26d0074ea7b84","protocol":"bitcoin","authorPubkey":"d83015e338edc52f8511b8cce5209023904c9c99b3e577b1d6e948d52b9d3daa","text":"I'd ask this in a physics gen if we had one but alas this board is too full of opinionated schizos to sustain one so I apologize for sloppiness. Consider L^2 or a sufficiently well behaved subspace thereof. The Fourier transform can be expressed as a linear, unitary operator in this space: [eqn] \\psi(x) = \\hat{\\mathcal{F}} \\phi(x) = \\int_{-\\infty}^{\\infty} \\frac{\\exp(-ikx)}{\\sqrt{2\\pi}}\\phi(k) dk [/eqn] [math]\\hat{\\mathcal{F}}^4 = 1 [/math] makes its powers isomorphic to the cyclic group [math]…","topicHash":"461b891df6bba7d9e77113fdf8178436d3b8af3b79e648d524acd32a227bcf71","topicName":"science","parentHash":"4ef3663874c4ab9842013d9696d9b55bbda657279e6a2b958ca75a42fc257a89","costSunk":"0","biasSupport":0,"biasOppose":0,"biasVouch":0,"biasNull":0,"blockHeight":null,"confirmations":0,"timestamp":"2026-10-28T14:10:07.409Z","tripFp":"4af6f7be45f0","viewCount":0,"powDifficulty":0,"relation":0,"ephemeral":true,"nonce":"5d349f6fc202ac36","sig":"e3eddc721662e8603ef17c8732cd5e0bd0e917eb872304aeab4690c9d212cd99d2ec6d30f7b0be8d5f3ed4fcd289589671b6db759b5b0ab3afe71320117b94b6","ephStamp":{"blockHashHex":"0000000000000000000012d0195caed4f6b512bce14e89ac7bd0d90c7341798d","nonceHex":"f233010000000000"},"replyCount":0,"chainReplyCount":0,"vaporReplyCount":0,"clusterSize":1,"receiptHeight":973563,"expiryHeight":977883,"authorMarks":{"since":"2026-10-27T04:09:16.556Z","via":"sight","inscribed":0,"likes":0,"biases":0},"lang":"en"}],"nextCursor":null,"pageReceipt":{"host":"6af58b1822e0cabfe57d76540f745d059b438f489a796ec6a705c6540233845e","t":"2026-11-08T19:59:34.276Z","sig":"4eabd581000a9b481f6d420e13ac674cb013e7a8abc1f3e0bd6f8b5d941b14a6cbeae9490514e7f5cf086f8bff5f59fcf4b1bf00b7c215ad516420806725e8b2"},"marks":{"since":"2026-10-27T04:09:16.556Z","via":"sight","inscribed":0,"likes":0,"biases":0}}